Summation of infinite Series, 





2 -— . T &c. = I + -i A ; therefore the fum required = 



2 .4 5 • 7 ■ ^ 



i. + -t A as before. In the fame manner we may apply the cor- 

 rection in ail other cafes. Although, therefore, the ieries 

 I - I 4- I — I + &c. or - I -f I - I -f I _ &c. have no determi- 

 nate value in the abftraci:, yet the given feries will fix its value 

 by pointing out the quantity from which the feries muft have 

 been originally produced. 



F z 



